1085132008400 has 120 divisors (see below), whose sum is σ = 2846896444704. Its totient is φ = 394196083200.

The previous prime is 1085132008399. The next prime is 1085132008417. The reversal of 1085132008400 is 48002315801.

It is a super-2 number, since 2×1085132008400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4263119 + ... + 4510481.

Almost surely, 2^{1085132008400} is an apocalyptic number.

1085132008400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085132008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423448222352).

1085132008400 is an abundant number, since it is smaller than the sum of its proper divisors (1761764436304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1085132008400 is a wasteful number, since it uses less digits than its factorization.

1085132008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248389 (or 248378 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 1085132008400 in words is "one trillion, eighty-five billion, one hundred thirty-two million, eight thousand, four hundred".